5877582826752 has 2592 divisors, whose sum is σ = 23443544517120. Its totient is φ = 1381568348160.

The previous prime is 5877582826751. The next prime is 5877582826763. The reversal of 5877582826752 is 2576282857785.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5877582826751) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 96353816802 + ... + 96353816862.

It is an arithmetic number, because the mean of its divisors is an integer number (9044577360).

Almost surely, 2^{5877582826752} is an apocalyptic number.

5877582826752 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5877582826752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11721772258560).

5877582826752 is an abundant number, since it is smaller than the sum of its proper divisors (17565961690368).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

5877582826752 is a wasteful number, since it uses less digits than its factorization.

5877582826752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221 (or 191 counting only the distinct ones).

The product of its digits is 1053696000, while the sum is 72.

The spelling of 5877582826752 in words is "five trillion, eight hundred seventy-seven billion, five hundred eighty-two million, eight hundred twenty-six thousand, seven hundred fifty-two".